Pan de yuca, a cheesy cassava bread, is another specialty in places like Ecuador, Colombia and Brazil. This video recipe illustrates the cooking process but you can find the full recipe here. In terms of desserts, Northern Brazil has gifted the world cuscuz, a creamy pudding made with tapioca, milk, coconut and sugar.
Cheese cakes (under refrigeration) should be good for 5 -7 days. Or Frozen for 6-8 months. Anything after that and you are risking various changes such as dryness, spoilage, or even picking up other (unwanted) flavors from your refrigerator. I think Cheesecake is best after 24 hours in the fridge. Put said cake in a Rubbermaid container, place a paper towel over the top and seal the lid over the paper towel. This will collect the condensation from the cake and keep the cake well humidified but not water dripping on it.
I don't know, but I think other buttercreams might pose a problem. You could experiment. Anywho, freeze the cupcakes on a sheet tray then bag them. The frosting can be frozen in a plastic container. The cupcakes will defrost at room temperature in less than a half hour. The frosting would take longer but, if you are careful, you could microwave in 30 second intervals at 30% power or so. Re-whip the frosting and proceed. The only reason I wouldnt freeze frosted cupcakes is that it is hard to store that many and not muss the icing.